A model for hydrogen combustion intended for low-resolution calculations will be treated in this presentation. The modeling includes the effect of turbulence and flame instabilities. Flame instabilities, and concretely Acoustic-Parametric instability, are treated firstly analytically identifying the regions of stability. In a secondary step the results of the theoretical investigation are utilized to model the phenomena in the simulations. A basic model that has been already utilized in productive calculations is presented. This model can be improved through the research of the process producing the flame wrinkling. This is carried out though the analysis of the Shivasinsky equation that helps to postulate an improved methodology.